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Finding the Fourth Proportional to 8,142.17, 11,244.38 and 7,016.81

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Solution

The fourth proportional to 8,142.17, 11,244.38 and 7,016.81 is: 9,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.17 : 11,244.38 = 7,016.81 : x
  2. Step 2: Convert to fraction form
    8,142.17/11,244.38 = 7,016.81/x
  3. Step 3: Cross multiply
    8,142.17x = 11,244.38 × 7,016.81
  4. Step 4: Simplify right side
    8,142.17x = 78,899,586.72
  5. Step 5: Solve for x
    x = 78,899,586.72/8,142.17
  6. Step 6: Final answer
    x = 9,690.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.